Measurements of the Branching fractions for $B_{(}s)->D_{(}s)\ddot{I}€\ddot{I}€\ddot{I}€$ and $\hat{I}{›}_b^0->\hat{I}{›}_c^{+}\ddot{I}€\ddot{I}€\ddot{I}€$

Abstract

Branching fractions of the decays $H_b\to H_c\ddot{I}{€}^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ relative to $H_b\to H_c\ddot{I}{€}^{-}$ are presented, where $H_b$ ($H_c$) represents B^0-bar($D^{+}$), $B^{-}$ ($D^0$), B_s^0-bar ($D_s^{+}$) and $\hat{I}{›}_b^0$ ($\hat{I}{›}_c^{+}$). The measurements are performed with the LHCb detector using 35$\mathrm{p}{\mathrm{b}}^{-1}$ of data collected at $\sqrt{s}=7$ TeV. The ratios of branching fractions are measured to be B(B^0-bar -> D^+π^-π^+π^-)/ B(B^0-bar -> D^+π^-) = 2.38\pm0.11\pm0.21 B(B^- -> D^0π^-π^+π^-) / B(B^- -> D^0π^-) = 1.27\pm0.06\pm0.11 B(B_s^0-bar -> D_s^+π^-π^+π^-) / B(B_s^0-bar -> D_s^+π^-) = 2.01\pm0.37\pm0.20 B(Λ_b^0->Λ_c^+π^-π^+π^-) / B(Λ_b^0 -> Λ_c^+π^-) = 1.43\pm0.16\pm0.13. We also report measurements of partial decay rates of these decays to excited charm hadrons. These results are of comparable or higher precision than existing measurements.

26 pages, 9 figures